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2002111013 = 710313720269
BaseRepresentation
bin111011101010101…
…1100101000100101
312011112022202222202
41313111130220211
513100020023023
6530400104245
7100420443230
oct16725345045
95145282882
102002111013
11938159701
1247a605085
1325ba36196
1414dc88417
15bab7d128
hex7755ca25

2002111013 has 16 divisors (see below), whose sum is σ = 2327320320. Its totient is φ = 1686946176.

The previous prime is 2002110953. The next prime is 2002111039. The reversal of 2002111013 is 3101112002.

It is a cyclic number.

It is not a de Polignac number, because 2002111013 - 212 = 2002106917 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2002110985 and 2002111003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002111043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88643 + ... + 108911.

It is an arithmetic number, because the mean of its divisors is an integer number (145457520).

Almost surely, 22002111013 is an apocalyptic number.

It is an amenable number.

2002111013 is a deficient number, since it is larger than the sum of its proper divisors (325209307).

2002111013 is a wasteful number, since it uses less digits than its factorization.

2002111013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20516.

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 2002111013 is about 44744.9551681528. The cubic root of 2002111013 is about 1260.3641789754.

Adding to 2002111013 its reverse (3101112002), we get a palindrome (5103223015).

The spelling of 2002111013 in words is "two billion, two million, one hundred eleven thousand, thirteen".

Divisors: 1 7 103 137 721 959 14111 20269 98777 141883 2087707 2776853 14613949 19437971 286015859 2002111013